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Finding the Fourth Proportional to 475,469.33, 656,214.92 and 294,239.67

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Solution

The fourth proportional to 475,469.33, 656,214.92 and 294,239.67 is: 406,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,469.33 : 656,214.92 = 294,239.67 : x
  2. Step 2: Convert to fraction form
    475,469.33/656,214.92 = 294,239.67/x
  3. Step 3: Cross multiply
    475,469.33x = 656,214.92 × 294,239.67
  4. Step 4: Simplify right side
    475,469.33x = 193,084,462,372.48
  5. Step 5: Solve for x
    x = 193,084,462,372.48/475,469.33
  6. Step 6: Final answer
    x = 406,092.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.